10212112120100 has 144 divisors (see below), whose sum is σ = 24575334286272. Its totient is φ = 3651998400000.

The previous prime is 10212112120099. The next prime is 10212112120219. The reversal of 10212112120100 is 102121121201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 609997730 + ... + 610014470.

Almost surely, 2^{10212112120100} is an apocalyptic number.

10212112120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212112120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12287667143136).

10212112120100 is an abundant number, since it is smaller than the sum of its proper divisors (14363222166172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10212112120100 is a wasteful number, since it uses less digits than its factorization.

10212112120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25918 (or 25911 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10212112120100 its reverse (102121121201), we get a palindrome (10314233241301).

10212112120100 divided by its reverse (102121121201) gives a square (100 = 10²).

It can be divided in two parts, 102121 and 12120100, that added together give a palindrome (12222221).

The spelling of 10212112120100 in words is "ten trillion, two hundred twelve billion, one hundred twelve million, one hundred twenty thousand, one hundred".